How to Calculate Bernoulli Equation

What is Bernoulli Equation?

Bernoulli's principle states that in a flowing fluid, faster flow means lower pressure. It explains aircraft lift, carburettors, Venturi meters, and why shower curtains billow inward.

Formula

P(X=k) = C(n,k) × p^k × (1−p)^(n−k) | μ = n×p | σ² = n×p×(1−p)

n: Number of trials
k: Number of successes
p: Probability of success (0–1)
C(n,k): Binomial coefficient (n choose k)

Step-by-Step Guide

1P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
2ρ = fluid density (water: 1,000 kg/m³)
3Higher velocity → lower static pressure (Venturi effect)
4Assumes incompressible, non-viscous, steady flow

Worked Examples

Input

Pipe narrows from 0.1m² to 0.04m², v₁=2m/s

Result

v₂ = (0.1/0.04) × 2 = 5 m/s; pressure at narrow section drops

Frequently Asked Questions

What is Bernoulli Calc?

Bernoulli\. Use this calculator for accurate, instant results.

How accurate is the Bernoulli Calc calculator?

The calculator uses the standard published formula for bernoulli calc. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Bernoulli Calc calculator use?

This calculator works with kilograms, inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Bernoulli Calc calculator use?

The core formula is: P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂. Each step in the calculation is shown so you can verify the result manually.

Ready to calculate? Try the free Bernoulli Equation Calculator

Try it yourself →